Given: tan θ+ sec θ = l … eq. 1 Duplicating and isolating by (sec θ – tan θ) on numerator and denominator of L.H.S, Along these lines, sec θ – tan θ = 1 … eq.2 Adding eq. 1and eq. 2, we get \[\left(...
A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angles of elevation of the bottom and the top of the flag staff are α and β, respectively. Prove that the height of the tower is [h tan α/(tan β – tan α)].
Considering that an upward banner staff of stature h is overcomed on an upward pinnacle of tallness H(say), with the end goal that FP = h and FO = H. The point of height of the base and top of the...
A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angles of elevation of the bottom and the top of the flag staff are α and β, respectively. Prove that the height of the tower is [h tan α/(tan β – tan α)].
Considering that an upward banner staff of stature h is overcomed on an upward pinnacle of tallness H(say), with the end goal that FP = h and FO = H. The point of height of the base and top of the...
The shadow of a tower standing on a level plane is found to be 50 m longer when Sun’s elevation is 30° than when it is 60°. Find the height of the tower.
Let SQ = h be the pinnacle. ∠SPQ = 30° and ∠SRQ = 60° As per the inquiry, the length of shadow is 50 m long hen point of rise of the sun is 30° than when it was 60°. Thus, PR = 50 m and RQ = x m So...
On the off chance that Zeba were more youthful by 5 years than what she truly is, the square of her age (in years) would have been 11 in excess of multiple times her real age. What is her age now?
Allow Zeba's to age = x As indicated by the inquiry, \[\left( x-5 \right){}^\text{2}=11+5x\] \[x{}^\text{2}+25-10x=11+5x\] \[x{}^\text{2}-15x+14=0\] \[x{}^\text{2}-14x-x+14=0\] \[x\left( x-14...
A train, going at a uniform speed for 360 km, would have required 48 minutes less to venture to every part of a similar distance if its speed were 5 km/h more. Track down the first speed of the train.
Let unique speed of train = x km/h We know, Time = distance/speed As indicated by the inquiry, we have, Time taken via train = 360/x hour What's more, Time taken via train its speed increment 5 km/h...
Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number.
Let the normal number = 'x'. As per the inquiry, We get the condition, \[x{}^\text{2}\text{ }\text{ }84\text{ }=\text{ }3\left( x+8 \right)\] \[x{}^\text{2}\text{ }\text{ }84\text{ }=\text{...